## Introduction to mechanics of deformable solids |

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Page 104

the tangent

however, the elastic

stage in the unloading will alter the state of stress (the forces Pi and P2), and care

must be ...

the tangent

**modulus**EUn instead of Young's**modulus**E. Upon unloading,however, the elastic

**modulus**E again controls. A temperature change at anystage in the unloading will alter the state of stress (the forces Pi and P2), and care

must be ...

Page 105

Elastic -tube- Maxwell -tube Suppose that tube 1 is linear-elastic, with

, and tube 2 is linear-viseoelastic of the Maxwell type, with

viscous coefficient C2. Let R be applied abruptly. The viscous response of tube 2

has ...

Elastic -tube- Maxwell -tube Suppose that tube 1 is linear-elastic, with

**modulus**Ei, and tube 2 is linear-viseoelastic of the Maxwell type, with

**modulus**E2 andviscous coefficient C2. Let R be applied abruptly. The viscous response of tube 2

has ...

Page 416

7=r ~ 3 (VE + VE,)1 12 (Ve + VW<y or « = j=rj (16.4:5) where the double

for the bar (of rectangular cross section), = JE,E (VE + VEty is a reduced

E< < Er < E. The moment-curvature relation (16.4:5) holds at each cross ...

7=r ~ 3 (VE + VE,)1 12 (Ve + VW<y or « = j=rj (16.4:5) where the double

**modulus**for the bar (of rectangular cross section), = JE,E (VE + VEty is a reduced

**modulus**;E< < Er < E. The moment-curvature relation (16.4:5) holds at each cross ...

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applied assemblage axial force beam behavior centroid circumferential column compatibility components of stress conditions of deformation constant creep cross section cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch fully plastic homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit Poisson's ratio principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rotation shaft shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled sphere thickness time-dependent tion torque torsion uniform unloading versus viscous yield curve yield stress zero